Pith Number

pith:KJYBSJRW

pith:2024:KJYBSJRWWR5PID4L5QD24SKXR5

not attested not anchored not stored refs pending

Open problems on relations of numerical semigroups

Alessio Moscariello, Alessio Sammartano

arxiv:2406.00790 v2 · 2024-06-02 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJYBSJRWWR5PID4L5QD24SKXR5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-27T01:05:32.262841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5270192636b47af40f8bec07ae49578f7711520d6c53a293078e27934befd58f

Aliases

arxiv: 2406.00790 · arxiv_version: 2406.00790v2 · doi: 10.48550/arxiv.2406.00790 · pith_short_12: KJYBSJRWWR5P · pith_short_16: KJYBSJRWWR5PID4L · pith_short_8: KJYBSJRW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KJYBSJRWWR5PID4L5QD24SKXR5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5270192636b47af40f8bec07ae49578f7711520d6c53a293078e27934befd58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97806f4ce70bebf5443f0f8f1aef2bb79411b0de01d44b9629014cda18293dbc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-02T16:07:04Z",
    "title_canon_sha256": "1eed2b752c707aa739e5f4f369bff9ff2dc45ecc817b54dfd53f984433a28ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.00790",
    "kind": "arxiv",
    "version": 2
  }
}